MATH SOLVE

2 months ago

Q:
# (Score for Question 3:_ of 16 points)3. Mr. Sanchez's class sold fruit pies for $1.55 each and Mr. Kelly's class sold bottles of fruit juice for $1.40each. Together, the classes sold 60 items and earned $88.20 for their school.(a) Write and solve a system of equations that model the problem. Show all your work(b) Which class earned more money?(c) How much more money did that class earn?Answer:

Accepted Solution

A:

Answer:a) Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.b) Mr. Kelly's classc) Mr. Kelly's classs earned $1.40 more than Mr. Sanchez's class.Step-by-step explanation:Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.Together, the classes sold 60 items, sox + y = 60Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.Together, the classes earned $88.20 for their school, so1.55x + 1.40y = 88.20.a) You get the system of two equations:[tex]\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.[/tex]From the first equation:[tex]x=60-y[/tex]Substitute it into the second equation:[tex]1.55(60-y)+1.4y=88.2\\ \\155(60-y)+140y=8,820\\ \\9,300-155y+140y=8,820\\ \\-15y=8,820-9,300\\ \\-15y=-480\\ \\15y=480\\ \\y=32\\ \\x=60-32=28[/tex]Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.b) Mr. Sanchez's calss earned:[tex]\$1.55\cdot 28=\$43.40[/tex]Mr. Kellyz's calss earned:[tex]\$1.40\cdot 32=\$44.80[/tex]Since [tex]\$44.80>\$43.40,[/tex] Mr. Kelly's class earned more.c) Mr. Kelly's classs earned [tex]\$44.80-\$43.40=\$1.40[/tex] more than Mr. Sanchez's class.